Areas Related to Circles
Gujarat Board · Class 10 · Mathematics
Quick revision notes for Areas Related to Circles — Gujarat Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Basic Concepts and Definitions
- A sector is the region enclosed by two radii and the corresponding arc
- A segment is the region enclosed between a chord and the corresponding arc
- Every circle has both minor and major sectors/segments
Area of a Sector
- Area of sector depends on the central angle and radius
- Uses the concept of proportional areas based on angles
- Complete circle (360°) has area πr²
Length of Arc
- Arc length is the curved distance along the circumference
- Proportional to the central angle
- Complete circle has circumference 2πr
Area of a Segment
- Segment area = Sector area - Triangle area
- Triangle is formed by joining the endpoints of the arc to the center
- Always involves subtraction of two areas
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